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Finding the Fourth Proportional to 1,315.28, 1,972.92 and 737.84

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Solution

The fourth proportional to 1,315.28, 1,972.92 and 737.84 is: 1,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.28 : 1,972.92 = 737.84 : x
  2. Step 2: Convert to fraction form
    1,315.28/1,972.92 = 737.84/x
  3. Step 3: Cross multiply
    1,315.28x = 1,972.92 × 737.84
  4. Step 4: Simplify right side
    1,315.28x = 1,455,699.29
  5. Step 5: Solve for x
    x = 1,455,699.29/1,315.28
  6. Step 6: Final answer
    x = 1,106.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.